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Finding the Fourth Proportional to 408,593.60, 611,752.80 and 208,481.60

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Solution

The fourth proportional to 408,593.60, 611,752.80 and 208,481.60 is: 312,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,593.60 : 611,752.80 = 208,481.60 : x
  2. Step 2: Convert to fraction form
    408,593.60/611,752.80 = 208,481.60/x
  3. Step 3: Cross multiply
    408,593.60x = 611,752.80 × 208,481.60
  4. Step 4: Simplify right side
    408,593.60x = 127,539,202,548.48
  5. Step 5: Solve for x
    x = 127,539,202,548.48/408,593.60
  6. Step 6: Final answer
    x = 312,141.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.